λ
Sigma Notebook

2,424,340

22 × 5 × 43 × 2819
Abundant Even Composite

2,424,340 is even and not a perfect square. Its factorization is 2^2 × 5 × 43 × 2819 and its 24 divisors sum to 5,211,360.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 2819
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,211,360
Proper Divisor Sum 2,787,020
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2424329 ← → #2424341

Radix Representation

Decimal 2424340
Binary 1001001111111000010100 (22 bits)
Octal 0o11177024
Hexadecimal 0x24FE14

Divisor Catalog (24)

1 2 4 5 10 20 43 86 172 215 430 860 2,819 5,638 11,276 14,095 28,190 56,380 121,217 242,434 484,868 606,085 1,212,170 2,424,340

Collatz Trajectory (112 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

2,424,340 1,212,170 606,085 1,818,256 909,128 454,564 227,282 113,641 340,924 170,462 85,231 255,694 127,847 383,542 191,771 575,314 287,657 862,972 431,486 215,743 647,230 323,615 970,846 485,423 1,456,270 728,135 2,184,406 1,092,203 3,276,610 1,638,305 4,914,916 2,457,458 1,228,729 3,686,188 1,843,094 921,547 2,764,642 1,382,321 4,146,964 2,073,482 1,036,741 3,110,224 1,555,112 777,556 388,778 194,389 583,168 291,584 145,792 72,896 36,448 18,224 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564

More profiles

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